Juan wants to know the cross-sectional area of a circular pipe. He measures the diameter which he finds,
to the nearest millimeter, to be 5 centimeters.
(a) How large is the possible error in Juan's measurement of the diameter of the circle? Explain.
(b)As a percentage of the diameter, how large is the possible error in Juan's measurement? Show or explain
how you found your answer.
(c) To find the area of the circle, Juan uses the formula A = where A is the area of the circle and ris its
radius. He uses 3.14 for 1. What value does Juan get for the area of the circle?
(d) As a percentage, how large is the measurement error in Juan's measurement for the area of the circle?
Show or explain how you found your answer.